Equation Calculator

Solve linear, quadratic and polynomial equations exactly, and other single-variable equations numerically, including complex roots.

Your result will appear here

Fill in the fields and press Solve, or pick one of the examples.

About the Equation Calculator

Solves an equation in one unknown. Linear, quadratic and higher-degree polynomial equations — including ones with fractions that reduce to polynomials — are solved with exact arithmetic: rational roots as fractions, quadratic roots as simplified radicals, and complex roots where they occur.

Equations that are not polynomial, such as $\cos x = x$ , are solved numerically on an interval you choose, and the answer is clearly marked as approximate.

Limitations

Polynomial factors of degree 3 or more without rational roots are solved numerically (Durand–Kerner).
Numerical solving only finds real roots inside the search interval.
One unknown only — use the System of Equations Solver for several unknowns.

How to use it

Type the equation with an equals sign, for example x^2 - 5x + 6 = 0.
For non-polynomial equations, adjust the search interval if needed.
Press Solve.

Example

x^2 - 5x + 6 = 0

→ x₁ = 2, x₂ = 3

Formulas used

x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}

The quadratic formula for ax^2 + bx + c = 0.

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About the Equation Calculator

Limitations

How to use it

Formulas used

Related tools

About the Equation Calculator

Limitations

How to use it

Formulas used